# Stored data for newform 3240.2.a.i, downloaded from the LMFDB on 28 March 2024. {"label": "3240.2.a.i", "space_label": "3240.2.a", "level": 3240, "weight": 2, "hecke_orbit": 9, "hecke_orbit_code": 36028797052521640, "dim": 2, "is_polredabs": true, "nf_label": "2.2.33.1", "trace_hash": 965632818808555288, "analytic_rank": 0, "is_twist_minimal": true, "hecke_cutters": [[7, [-8, -1, 1]], [11, [-8, -1, 1]], [17, [-32, -2, 1]]], "qexp_display": "q-q^{5}+\\beta q^{7}+(1-\\beta )q^{11}-\\beta q^{13}+\\cdots", "char_order": 1, "char_parity": 1, "char_degree": 1, "char_conductor": 1, "char_orbit_label": "a", "char_is_real": true, "Nk2": 12960, "fricke_eigenval": -1, "atkin_lehner_string": "-++", "analytic_conductor": 25.871530254894843, "hecke_ring_index": 1, "level_radical": 30, "field_poly_is_cyclotomic": false, "field_poly_root_of_unity": 0, "field_poly_is_real_cyclotomic": false, "hecke_ring_index_proved": true, "self_twist_type": 0, "is_self_dual": true, "is_self_twist": false, "is_cm": false, "is_rm": false, "trace_zratio": {"__RealLiteral__": 0, "data": "0.009", "prec": 17}, "analytic_rank_proved": true, "char_values": [3240, 1, [2431, 1621, 3161, 1297], [1, 1, 1, 1]], "hecke_ring_generator_nbound": 7, "inner_twist_count": 1, "level_primes": [2, 3, 5], "conrey_indexes": [1], "field_disc": 33, "field_disc_factorization": [[3, 1], [11, 1]], "field_poly": [-8, -1, 1], "hecke_ring_index_factorization": [], "trace_moments": [{"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "2.007", "prec": 17}, {"__RealLiteral__": 0, "data": "0.004", "prec": 17}, {"__RealLiteral__": 0, "data": "10.097", "prec": 20}, {"__RealLiteral__": 0, "data": "0.732", "prec": 17}, {"__RealLiteral__": 0, "data": "72.732", "prec": 20}], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 2, "sato_tate_group": "1.2.3.c1", "atkin_lehner_eigenvals": [[2, -1], [3, 1], [5, 1]], "trace_display": [0, 0, -2, 1], "traces": [0, 2, 0, 0, 0, -2, 0, 1, 0, 0, 0, 1, 0, -1, 0, 0, 0, 2, 0, 2, 0, 0, 0, -5, 0, 2, 0, 0, 0, 1, 0, 5, 0, 0, 0, -1, 0, 12, 0, 0, 0, -12, 0, 2, 0, 0, 0, 13, 0, 3, 0, 0, 0, -3, 0, -1, 0, 0, 0, -10, 0, 14, 0, 0, 0, 1, 0, 10, 0, 0, 0, 3, 0, 18, 0, 0, 0, -16, 0, 6, 0, 0, 0, 20, 0, -2, 0, 0, 0, 3, 0, -17, 0, 0, 0, -2, 0, 2, 0, 0, 0, 3, 0, 17, 0, 0, 0, 12, 0, 19, 0, 0, 0, -18, 0, 5, 0, 0, 0, 34, 0, -5, 0, 0, 0, -2, 0, 3, 0, 0, 0, -24, 0, 1, 0, 0, 0, 22, 0, 30, 0, 0, 0, 16, 0, -1, 0, 0, 0, -16, 0, 43, 0, 0, 0, -5, 0, 17, 0, 0, 0, -19, 0, -4, 0, 0, 0, 24, 0, -9, 0, 0, 0, -1, 0, 1, 0, 0, 0, 20, 0, 1, 0, 0, 0, -12, 0, -32, 0, 0, 0, 17, 0, -10, 0, 0, 0, 7, 0, 4, 0, 0, 0, -16, 0, 12, 0, 0, 0, 1, 0, 34, 0, 0, 0, -2, 0, 52, 0, 0, 0, -34, 0, 28, 0, 0, 0, 12, 0, -22, 0, 0, 0, -6, 0, -13, 0, 0, 0, 6, 0, 19, 0, 0, 0, -3, 0, -1, 0, 0, 0, -3, 0, 14, 0, 0, 0, -24, 0, 6, 0, 0, 0, 9, 0, 3, 0, 0, 0, -7, 0, -30, 0, 0, 0, 1, 0, -17, 0, 0, 0, -29, 0, 22, 0, 0, 0, 27, 0, 34, 0, 0, 0, 1, 0, 10, 0, 0, 0, 19, 0, -32, 0, 0, 0, -14, 0, -10, 0, 0, 0, -7, 0, -8, 0, 0, 0, 27, 0, 17, 0, 0, 0, 2, 0, -1, 0, 0, 0, 23, 0, 33, 0, 0, 0, -10, 0, -10, 0, 0, 0, -47, 0, 11, 0, 0, 0, 26, 0, -45, 0, 0, 0, -4, 0, -3, 0, 0, 0, 27, 0, -36, 0, 0, 0, -18, 0, -26, 0, 0, 0, -51, 0, -10, 0, 0, 0, 16, 0, -1, 0, 0, 0, 33, 0, 16, 0, 0, 0, -30, 0, -38, 0, 0, 0, -6, 0, 68, 0, 0, 0, -21, 0, -52, 0, 0, 0, 6, 0, -37, 0, 0, 0, -5, 0, -20, 0, 0, 0, -24, 0, 51, 0, 0, 0, 2, 0, 40, 0, 0, 0, -25, 0, -2, 0, 0, 0, -5, 0, -1, 0, 0, 0, 12, 0, -3, 0, 0, 0, -12, 0, -39, 0, 0, 0, 17, 0, -46, 0, 0, 0, -45, 0, -15, 0, 0, 0, 2, 0, -28, 0, 0, 0, 34, 0, 2, 0, 0, 0, 31, 0, -6, 0, 0, 0, -2, 0, -1, 0, 0, 0, 6, 0, -32, 0, 0, 0, 18, 0, 28, 0, 0, 0, 24, 0, -3, 0, 0, 0, 76, 0, 42, 0, 0, 0, -17, 0, -10, 0, 0, 0, -17, 0, -46, 0, 0, 0, 104, 0, -17, 0, 0, 0, -27, 0, -12, 0, 0, 0, -15, 0, -25, 0, 0, 0, -19, 0, -80, 0, 0, 0, 1, 0, -30, 0, 0, 0, 23, 0, 32, 0, 0, 0, -14, 0, 18, 0, 0, 0, -52, 0, 11, 0, 0, 0, -5, 0, 4, 0, 0, 0, 10, 0, 48, 0, 0, 0, -60, 0, 5, 0, 0, 0, 12, 0, -34, 0, 0, 0, 21, 0, 26, 0, 0, 0, 5, 0, -78, 0, 0, 0, -23, 0, -15, 0, 0, 0, 30, 0, -71, 0, 0, 0, 18, 0, 2, 0, 0, 0, 12, 0, -79, 0, 0, 0, -3, 0, -18, 0, 0, 0, -45, 0, 54, 0, 0, 0, 6, 0, -5, 0, 0, 0, 38, 0, 24, 0, 0, 0, 9, 0, -27, 0, 0, 0, -1, 0, 14, 0, 0, 0, -26, 0, -24, 0, 0, 0, 25, 0, -32, 0, 0, 0, -42, 0, -22, 0, 0, 0, 51, 0, 31, 0, 0, 0, -30, 0, 54, 0, 0, 0, -1, 0, 12, 0, 0, 0, 84, 0, -32, 0, 0, 0, -62, 0, -16, 0, 0, 0, 61, 0, -41, 0, 0, 0, 1, 0, -77, 0, 0, 0, -64, 0, -12, 0, 0, 0, 38, 0, 3, 0, 0, 0, 36, 0, 16, 0, 0, 0, 6, 0, -42, 0, 0, 0, -43, 0, 37, 0, 0, 0, 0, 0, -40, 0, 0, 0, 5, 0, -13, 0, 0, 0, -36, 0, 5, 0, 0, 0, -12, 0, -15, 0, 0, 0, -17, 0, -26, 0, 0, 0, -42, 0, -40, 0, 0, 0, 6, 0, 46, 0, 0, 0, -24, 0, 19, 0, 0, 0, -12, 0, -23, 0, 0, 0, 4, 0, 2, 0, 0, 0, -77, 0, -58, 0, 0, 0, 0, 0, -1, 0, 0, 0, 36, 0, -24, 0, 0, 0, 17, 0, -41, 0, 0, 0, 9, 0, -19, 0, 0, 0, -30, 0, 10, 0, 0, 0, 78, 0, 49, 0, 0, 0, 63, 0, 1, 0, 0, 0, 36, 0, 28, 0, 0, 0, -1, 0, 35, 0, 0, 0, -45, 0, 46, 0, 0, 0, 55, 0, -81, 0, 0, 0, 13, 0, -20, 0, 0, 0, -47, 0, -102, 0, 0, 0, -1, 0, -48, 0, 0, 0, 1, 0, 10, 0, 0, 0, 21, 0, 67, 0, 0, 0, -18, 0, 12, 0, 0, 0, -23, 0, 3, 0, 0, 0, 32, 0, 74, 0, 0, 0, 16, 0, -3, 0, 0, 0, -86, 0, -42, 0, 0, 0, 24, 0, -17, 0, 0, 0, -22, 0, 99, 0, 0, 0, 10, 0, -60, 0, 0, 0, -40, 0, 15, 0, 0, 0, -70, 0, -15, 0, 0, 0, -12, 0, -7, 0, 0, 0, 28, 0, 1, 0, 0, 0, -4, 0, -33, 0, 0, 0, 8, 0, -10, 0, 0, 0, -3, 0, -80, 0, 0, 0, 41, 0, 16, 0, 0, 0, 8, 0, 47, 0, 0, 0, -12, 0, 30, 0, 0, 0, -1, 0, -50, 0, 0, 0, 80, 0, -62, 0, 0, 0, -74, 0, -1, 0, 0, 0, 102, 0, 5, 0, 0, 0, -34, 0, 38, 0, 0, 0, -19, 0, 44, 0, 0, 0, 34, 0, -31, 0, 0, 0, 6, 0, 2, 0, 0, 0, -10, 0, -49, 0, 0, 0, -52, 0, -14, 0, 0, 0, -57, 0, -11, 0, 0, 0, -14, 0, 91, 0, 0, 0, -73, 0, 34, 0, 0, 0, -61, 0, -81, 0, 0, 0, -28, 0, -11, 0, 0, 0, -10, 0, -2, 0, 0, 0, -24, 0, 40, 0, 0, 0, 58, 0, -12, 0, 0, 0, -56, 0, 64, 0, 0, 0, 22, 0, 30, 0, 0, 0, -14, 0, -32, 0, 0, 0, -18, 0, 14, 0, 0, 0, 48, 0, 6, 0, 0, 0, 12, 0, 16, 0, 0, 0, 13, 0, 6, 0, 0, 0, 59, 0, 12, 0, 0, 0, -2, 0, -39, 0, 0, 0, 8, 0, -6, 0, 0, 0, 59, 0, 18, 0, 0, 0, -19, 0, 36, 0, 0, 0, -83, 0, -15, 0, 0, 0, 50, 0, 57, 0, 0, 0, 47, 0, 3, 0, 0, 0, 15, 0, 47, 0, 0, 0, 1, 0, 67, 0, 0, 0, 84, 0, 24, 0, 0, 0, 34, 0, 18, 0, 0, 0, -23, 0, 3, 0, 0, 0, 48, 0, 32, 0, 0, 0, -14, 0, -82, 0, 0, 0, 69, 0, 10, 0, 0, 0, 47, 0, -1, 0, 0, 0, -50, 0, 24, 0, 0, 0, 72, 0, 88, 0, 0, 0, -6, 0, -16, 0, 0, 0, -31, 0, 79, 0, 0, 0, -24, 0, -16, 0, 0, 0, -84, 0, -9, 0, 0, 0, -59, 0, -36, 0, 0, 0, -3, 0, -58, 0, 0, 0, 3, 0, -94, 0, 0, 0, -8, 0, 41, 0, 0, 0, -60, 0, 7, 0, 0, 0, 3, 0, 28, 0, 0, 0, 30, 0, 25, 0, 0, 0, 17, 0, -10, 0, 0, 0, 57, 0, -2, 0, 0, 0, 28, 0, -1, 0, 0, 0, -13, 0, 31, 0, 0, 0, 17, 0, 18, 0, 0, 0, -6, 0, 68, 0, 0, 0, 84, 0, 29, 0, 0, 0, -68, 0, 29, 0, 0, 0, -20, 0, 20, 0, 0, 0, -22, 0, 40, 0, 0, 0, -15, 0, 129, 0, 0, 0, -36, 0, 11, 0, 0, 0, 92, 0, -27, 0, 0, 0, 2, 0, -45, 0, 0, 0, -34, 0, 25, 0, 0, 0, -109, 0, 95, 0, 0, 0, 82, 0, 66, 0, 0, 0, -16, 0, -1, 0, 0, 0, 42, 0, -80, 0, 0, 0, -10, 0, 17, 0, 0, 0, 31, 0, -60, 0, 0, 0, 45, 0, 12, 0, 0, 0, 42, 0, -19, 0, 0, 0, -119, 0, 6, 0, 0, 0, 32, 0, 44, 0, 0, 0, -21, 0, 36, 0, 0, 0, -72, 0, 57, 0, 0, 0, 112, 0, 14, 0, 0, 0, 15, 0, 41, 0, 0, 0, 10, 0, 48, 0, 0, 0, 8, 0, -13, 0, 0, 0, -50, 0, 8, 0, 0, 0, -10, 0, 7, 0, 0, 0, 89, 0, 80, 0, 0, 0, 8, 0, 29, 0, 0, 0, -43, 0, 19, 0, 0, 0, 20, 0, 50, 0, 0, 0, 86, 0, -27, 0, 0, 0, 72, 0, 12, 0, 0, 0, -17, 0, 24, 0, 0, 0, -14, 0, -44, 0, 0, 0, 30, 0, -26, 0, 0, 0, 71, 0, -2, 0, 0, 0, -27, 0, -59, 0, 0, 0, 1, 0, -42, 0, 0, 0, 96, 0, -24, 0, 0, 0, -27, 0, 58, 0, 0, 0, -156, 0, -23, 0, 0, 0, -64, 0, 81, 0, 0, 0, -33, 0, 12, 0, 0, 0, 5, 0, 41, 0, 0, 0, -100, 0, 21, 0, 0, 0, 102, 0, 10, 0, 0, 0, -78, 0, 56, 0, 0, 0, 10, 0, -106, 0, 0, 0, 3, 0, 37, 0, 0, 0, -94, 0, -4, 0, 0, 0, -21, 0, 47, 0, 0, 0, 16, 0, -5, 0, 0, 0, -11, 0, 168, 0, 0, 0, 42, 0, 12, 0, 0, 0, -74, 0, -17, 0, 0, 0, -47, 0, -26, 0, 0, 0, 78, 0, 25, 0, 0, 0, 45, 0, -4, 0, 0, 0, -82, 0, -66, 0, 0, 0, 81, 0, -29, 0, 0, 0, -78, 0, 4, 0, 0, 0, -26, 0, 40, 0, 0, 0, 3, 0, 88, 0, 0, 0, 22, 0, 58, 0, 0, 0, 46, 0, -17, 0, 0, 0, -68, 0, -27, 0, 0, 0, 54, 0, 91, 0, 0, 0, 36, 0, -15, 0, 0, 0, 39, 0, 18, 0, 0, 0, 18, 0, 12, 0, 0, 0, 51, 0, 18, 0, 0, 0, -25, 0, -60, 0, 0, 0, 26, 0, 12, 0, 0, 0, -45, 0, 2, 0, 0, 0, -1, 0, -18, 0, 0, 0, -80, 0, 51, 0, 0, 0, -21, 0, -22, 0, 0, 0, 10, 0, -40, 0, 0, 0, -11, 0, -32, 0, 0, 0, -87, 0, 45, 0, 0, 0, 46, 0, -16, 0, 0, 0, -48, 0, 134, 0, 0, 0, 1, 0, 18, 0, 0, 0, -5, 0, 82, 0, 0, 0, -36, 0, -50, 0, 0, 0, -6, 0, -33, 0, 0, 0, 3, 0, -84, 0, 0, 0, -16, 0, -45, 0, 0, 0, -15, 0, 41, 0, 0, 0, 74, 0, 41, 0, 0, 0, 38, 0, 30, 0, 0, 0, -27, 0, -41, 0, 0, 0, 38, 0, 17, 0, 0, 0, -18, 0, -38, 0, 0, 0, -31, 0, 43, 0, 0, 0, -18, 0, 6, 0, 0, 0, -26, 0, 44, 0, 0, 0, -68, 0, 36, 0, 0, 0, 83, 0, 30, 0, 0, 0, 87, 0, 19, 0, 0, 0, -4, 0, 21, 0, 0, 0, 15, 0, 36, 0, 0, 0, 52, 0, 38, 0, 0, 0, -20, 0, 83, 0, 0, 0, -42, 0, 35, 0, 0, 0, 12, 0, -6, 0, 0, 0, -63, 0, -91, 0, 0, 0, 37, 0, -24, 0, 0, 0, 83, 0, -2, 0, 0, 0, -38, 0, -15, 0, 0, 0, -50, 0, 5, 0, 0, 0, 15, 0, 19, 0, 0, 0, 20, 0, -74, 0, 0, 0, -12, 0, -106, 0, 0, 0, -28, 0, 2, 0, 0, 0, 59, 0, 24, 0, 0, 0, -62, 0, 25, 0, 0, 0, -51, 0, -30, 0, 0, 0, 33, 0, 50, 0, 0, 0, -24, 0, -64, 0, 0, 0, -38, 0, -2, 0, 0, 0, 133, 0, -47, 0, 0, 0, -40, 0, 4, 0, 0, 0, 69, 0, 20, 0, 0, 0, -18, 0, 28, 0, 0, 0, -14, 0, 25, 0, 0, 0, -162, 0, -24, 0, 0, 0, 2, 0, 20, 0, 0, 0, -12, 0, -81, 0, 0, 0, -86, 0, 17, 0, 0, 0, -60, 0, 5, 0, 0, 0, -64, 0, -4, 0, 0, 0, 1, 0, 1, 0, 0, 0, 57, 0, -50, 0, 0, 0, -43, 0, 7, 0, 0, 0, 3, 0, -12, 0, 0, 0, -3, 0, -41, 0, 0, 0, 3, 0, 42, 0, 0, 0, 28, 0, -8, 0, 0, 0, -11, 0, 5, 0, 0, 0, 142, 0, 12, 0, 0, 0, 83, 0, 32, 0, 0, 0, 39, 0, 84, 0, 0, 0, 34, 0, 144, 0, 0, 0, 42, 0, 1, 0, 0, 0, 6, 0, -17, 0, 0, 0, 96, 0, 2, 0, 0, 0, 46, 0, -75, 0, 0, 0, 36, 0, -23, 0, 0, 0, -30, 0, -5, 0, 0, 0, 36, 0, 45, 0, 0, 0, -53, 0, -98, 0, 0, 0, 15, 0, 0, 0, 0, 0, 17, 0, -90, 0, 0, 0, 23, 0, -44, 0, 0, 0, -95, 0, -2, 0, 0, 0, 112, 0, 35, 0, 0, 0, 28, 0, 68, 0, 0, 0, 69, 0, 82, 0, 0, 0, -117, 0, -38, 0, 0, 0, 30, 0, -34, 0, 0, 0, 7, 0, 14, 0, 0, 0, -2, 0, 18, 0, 0, 0, 70, 0, 103, 0, 0, 0, -40, 0, -35, 0, 0, 0, -32, 0, -31, 0, 0, 0, 27, 0, -98, 0, 0, 0, 6, 0, 10, 0, 0, 0, 52, 0, 3, 0, 0, 0, -32, 0, 60, 0, 0, 0, -85, 0, 2, 0, 0, 0, -86, 0, 16, 0, 0, 0, 1, 0, 166, 0, 0, 0, -2, 0, -6, 0, 0, 0, -19, 0, -84, 0, 0, 0, -52, 0, -6, 0, 0, 0, -108, 0, -30, 0, 0, 0, 32, 0, -120, 0, 0, 0, 130, 0, -16, 0, 0, 0, -39, 0, 60, 0, 0, 0, 8, 0, -18, 0, 0, 0, -24, 0, -69, 0, 0, 0, -28, 0, -60, 0, 0, 0, -18, 0, 58, 0, 0, 0, 2, 0, -28, 0, 0, 0, 30, 0, -24, 0, 0, 0, 22, 0, 76, 0, 0, 0, 3, 0, -18, 0, 0, 0, -114, 0, -148, 0, 0, 0, -10, 0, -35, 0, 0, 0, 89, 0, -76, 0, 0, 0, -57, 0, 27, 0, 0, 0, -42, 0, 25, 0, 0, 0, 13, 0, -102, 0, 0, 0, 76, 0, -112, 0, 0, 0, 50, 0, 17, 0, 0, 0, -90, 0, -15, 0, 0, 0, 10, 0, -68, 0, 0, 0, -61, 0, -62, 0, 0, 0, -54, 0, 78, 0, 0, 0, 22, 0, 17, 0, 0, 0, -87, 0, -38, 0, 0, 0, 46, 0, 28, 0, 0, 0, 116, 0, -52, 0, 0, 0, 18, 0, -96, 0, 0, 0, 106, 0, -104, 0, 0, 0, 8, 0, 30, 0, 0, 0, 17, 0, -111, 0, 0, 0, 125, 0, -149, 0, 0, 0, -108, 0, 39, 0, 0, 0, 61, 0, 27, 0, 0, 0, 182, 0, -28, 0, 0, 0, 12, 0, -9, 0, 0, 0, 33, 0, -42, 0, 0, 0, 91, 0, 92, 0, 0, 0, -45, 0, 15, 0, 0, 0, -48, 0, 108, 0, 0, 0, 25, 0, 20, 0, 0, 0, -31, 0, -32, 0, 0, 0, 16, 0, -53, 0, 0, 0, -48, 0, 19, 0, 0, 0, -147, 0, 49, 0, 0, 0, 80, 0, -118, 0, 0, 0, -15, 0, -17, 0, 0, 0, -126, 0, -33, 0, 0, 0, -18, 0, -1, 0, 0, 0, 57, 0, -84, 0, 0, 0, 30, 0, -37, 0, 0, 0, 128, 0, -65, 0, 0, 0, 48, 0, 34, 0, 0, 0, 29, 0, -23, 0, 0, 0, -87, 0, -54, 0, 0, 0, -32, 0, -139, 0, 0, 0, -21, 0, 44, 0, 0, 0, -159, 0, 47, 0, 0, 0, 34, 0, 14, 0, 0, 0, 123, 0, -92, 0, 0, 0, -18, 0, -78, 0, 0, 0, -16, 0, 86, 0, 0, 0, -108, 0, 24, 0, 0, 0, -64, 0, 52, 0, 0, 0, -96, 0, 14, 0, 0, 0, -11, 0, -64, 0, 0, 0, 30, 0, -35, 0, 0, 0, 124, 0, 43, 0, 0, 0, 24, 0, 5, 0, 0, 0, 145, 0, 76, 0, 0, 0, -4, 0, 50, 0, 0, 0, -15, 0, 54, 0, 0, 0, -6, 0, -80, 0, 0, 0, 102, 0, -10, 0, 0, 0, 42, 0, 15, 0, 0, 0, -48, 0, -127, 0, 0, 0, 75, 0, 36, 0, 0, 0, -113, 0, -81, 0, 0, 0, -144, 0, 60, 0, 0, 0, 94, 0, -166, 0, 0, 0, -5, 0, 42, 0, 0, 0, -72, 0, 78, 0, 0, 0, -27, 0, -53, 0, 0, 0, -66, 0, -12, 0, 0, 0, -3, 0, 91, 0, 0, 0, 34, 0, 44, 0, 0, 0, -48, 0, 17, 0, 0, 0, 58, 0, 54, 0, 0, 0, -42, 0, -21, 0, 0, 0, -88, 0], "weight_parity": 1, "has_non_self_twist": 0, "level_is_prime": false, "level_is_prime_power": false, "level_is_square": false, "level_is_squarefree": false, "inner_twists": [[1, 1, 1, 1, 1, 1, 1]], "char_orbit_index": 1, "prim_orbit_index": 1, "minimal_twist": "3240.2.a.i", "char_is_minimal": true, "conrey_index": 1, "id": null, "projective_image": null, "projective_image_type": null, "artin_degree": null, "artin_image": null, "artin_field_label": null, "projective_field_label": null, "projective_field": null, "artin_field": null, "embedded_related_objects": null, "qexp": [[0, 0], [1, 0], [0, 0], [0, 0], [0, 0], [-1, 0], [0, 0], [0, 1], [0, 0], [0, 0], [0, 0], [1, -1], [0, 0], [0, -1], [0, 0], [0, 0], [0, 0], [0, 2], [0, 0], [1, 0], [0, 0], [0, 0], [0, 0], [-2, -1], [0, 0], [1, 0], [0, 0], [0, 0], [0, 0], [1, -1], [0, 0], [1, 3], [0, 0], [0, 0], [0, 0], [0, -1], [0, 0], [6, 0], [0, 0], [0, 0], [0, 0], [-7, 2], [0, 0], [2, -2], [0, 0], [0, 0], [0, 0], [6, 1], [0, 0], [1, 1], [0, 0], [0, 0], [0, 0], [0, -3], [0, 0], [-1, 1], [0, 0], [0, 0], [0, 0], [-5, 0], [0, 0], [6, 2], [0, 0], [0, 0], [0, 0], [0, 1], [0, 0], [6, -2], [0, 0], [0, 0], [0, 0], [1, 1], [0, 0], [8, 2], [0, 0], [0, 0], [0, 0], [-8, 0], [0, 0], [4, -2], [0, 0], [0, 0], [0, 0], [10, 0], [0, 0], [0, -2], [0, 0], [0, 0], [0, 0], [1, 1], [0, 0], [-8, -1], [0, 0], [0, 0], [0, 0], [-1, 0], [0, 0], [2, -2], [0, 0], [0, 0], [0, 0]]}